At the same time, we aim to test the assumptions that led to the relationship eq:srequals2ew. Such assumptions were recently shown to be delicate, even in the case of the RT formula, and leading order corrections to the RT formula were found in certain setups [1]}. Here we will find significant non-perturbative effects away from the EW phase transition, most notably when computing the \((m,n)\) -Rényi reflected entropy (a generalization of reflected entropy which we define below in sec:setup), where new saddles are important beyond the previously discussed, naive saddles.
We will show that these effects go away as \(n \rightarrow 1\) , giving back eq:srequals2ew.
